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Finding the Fourth Proportional to 423,193.84, 584,008.20 and 232,208.68

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Solution

The fourth proportional to 423,193.84, 584,008.20 and 232,208.68 is: 320,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,193.84 : 584,008.20 = 232,208.68 : x
  2. Step 2: Convert to fraction form
    423,193.84/584,008.20 = 232,208.68/x
  3. Step 3: Cross multiply
    423,193.84x = 584,008.20 × 232,208.68
  4. Step 4: Simplify right side
    423,193.84x = 135,611,773,231.18
  5. Step 5: Solve for x
    x = 135,611,773,231.18/423,193.84
  6. Step 6: Final answer
    x = 320,448.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.